Answers
Answer:
10:A 11:D
Step-by-step explanation:
10)
g([tex](\sqrt{x+1}^2+3)/(\sqrt{x+1} )[/tex]
rewrite [tex]\sqrt{x+1}^2[/tex] as x +1
g [tex](\sqrt{x+1}^2)[/tex] = [tex]\frac{x+1+3}{\sqrt{x+1} }[/tex]
add 1+3
g[tex](\sqrt{x+1}^2)[/tex]=[tex]\frac{x+4}{\sqrt{x+1} }[/tex]
combine and symplify
[tex]g{\sqrt{x+1} } *\frac{{x+4 (\sqrt{x+1}) } }{{x+1} }[/tex]
reorder factors of the second side
[tex]g{\sqrt{x+1} } *\frac{{\sqrt{x+1} (x+4) } }{{x+1} }[/tex]
take out the root x+1
and you are left with A
11.
f(g(x))
substitue g into f
f([tex]f{\sqrt{x+3} } =\((\sqrt{x+3})^2 +9}[/tex]
rewrite sqrroot x+3 as x+3
[tex]f{\sqrt{x+3} } =\(x+3 +9}[/tex]
Now add 3+9
[tex]f{\sqrt{x+3} } =\(x+12}[/tex]
we get x+12
Now for domain
[tex]f{\sqrt{x+3} } =\((\sqrt{x+3})^2 +9}[/tex]
set the radicand root sqr x+3 >= 0 to find the expression defined
[tex]x+3\geq 0[/tex]
subtract 3 from both sides
[tex]x\geq 3[/tex]
turn it into interval notation
[-3,+∞)
Related Questions
Hugh is at the gym using an exercise bike. The bike counts each 1/4 mile as 1 lap.
If Hugh bikes 16 laps, how many miles does he bike?
Answers
WHO ANSWERS I WILL MARK BRAINLIEST
Jarvis works in a garage for $9 an hour.
If he works on Saturday he is paid time and a half.
If he works on Sunday he is paid time and three quarters.
Last weekend Jarvis worked for FIVE hours on Saturday and TWO hours on Sunday.
Hours paid on Saturday ( Mixed fraction ) =
Hours paid on Sunday ( Mixed fraction ) =
Total hours paid ( Mixed fraction ) =
How much was Jarvis paid last weekend altogether?
Answers
Plz help me well mark brainliest!
Answers
I need the answer if you please don't answer the question uleash you are 100 percent right
Answers
Answer:
What are they making you do
Step-by-step explanation:
11) How many 1/16's are in 3/4?
Answers
Answer:
12/16 is the equivilant of 3/4 so it is 12 1/16's
Step-by-step explanation:
Write the equation of the line with a slope of 2 that passes through the point (-3,
10). Write your answer in slope-intercept form.
Answers
Answer:
Y = 2x + 16
Step-by-step explanation:
Y = mx + b
y = 2x + b
10 = 2(-3) + b
10 = -6 + b
16 = b
y = 2x + 16
Hope this helps! Pls give brainliest!
Answer: y=2x+16
Step-by-step explanation:
Y- Y1 = M (x-x1)
Y-10=2(x+3)
Y-10=2x+6
+10. +10
Y=2x+16
What is the greatest common factor of 8 and 6
Answers
Answer: 2
Step-by-step explanation:
Write the equation in slope-intercept form.
6x – 3y = -18
Answers
Answer:
y = 2X + 6
Step-by-step explanation:
6x +18 = 3y
y = 6/3x + 18/3
Plot point F so that ABC is congruent to FGH. Identify a sequence of rigid motions that maps ABC onto FGH and use a theorem to complete the explanation of why the triangles are congruent.
Answers
Answer:
Step-by-step explanation:
Having completed the triangle to the rectangle, you can immediately understand through the Pythagorean theorem that they will be congruent
Then by the Pythagorean theorem:
[tex]\ \sf Points \ F (5 \ ; \ 1)[/tex]
[tex]\sf \displaystyle AB=\sqrt{5^2+1^2} =\sqrt{26 } \ \ ; \ \ FG=\sqrt{5^2+1}=\sqrt{26 } \\\\ BC=\sqrt{2^2+1^2} =\sqrt{5} \ \ ; \ GH=\sqrt{2^2+1^2} =\sqrt{5} \\\\ AC=\sqrt{3^2+2^2} =\sqrt{13} \ \ ; \ \ HF =\sqrt{3^2+2^2} =\sqrt{13}[/tex]
SSS (side-side-side) All three corresponding sides are congruent. =>
ΔABC≅ΔFGH
Two trains leave the same city at a right angle to each other and continue in straight lines. Train B travels 5 mph faster than train A. After two hours, they are 50 miles apart. Determine the speed of each
train.
Answers
Answer:
Let A have speed 'a.' Remember distance is rate times time, and the Pythagorean theorem. We then have (2a)^2+(2(a+5))^2=50^2. a=15, so the other rate is 20.
Step-by-step explanation:
Step by step please!
One-ninth of the candies in a bag of M&M's are red. If there are 16 red candies, how many M&M's are in the bag?
Answers
Answer:
21
I hope this helped I would appreciate brainliest if possible
25,812-4.2d=31.311-5.5d
Answers
Answer:
d=−19831.299231
Step-by-step explanation:
What is the image of the point P(-2,3), after a Rotation of 270 degrees about the origin?
Answers
The rule for a 270 degree rotation is the original Y value becomes the new X value and the original X value becomes the new Y value but sign becomes the opposite.
(-2,3) after a 270 degree rotation becomes (3,2)
right i sucks at all school so what is a 0.0000343 in standard form????????????
Answers
Answer:
3.43x10^-5
Step-by-step explanation:
fill the table using this function rule
y=-10x+3
Answers
Hey there!
y=-2x+3
If x=-6
y=-2(-6)+3
y=12+3
y=15
y=-2(-3)+3
y=6+3
y=9
y=-2(0)+3
y=0+3
y=3
y=-2(3)+3
y=-6+3
y=-3
Hope this helps you! :)
~Just a depressed teen who loves Biology and Maths and misses her best friend
[tex](:GraceRosalia :)[/tex]
Answer:
if x=-6 y =-10(-6)+3=60+3=63
and if x=-3, y= -10(-3)+3=30+3=33
then if x=0, y =-10(0)+3=0+3=3
finally if x=3 y=-10(3)+3=-30+3=27
Step-by-step explanation:
you are to use the equation given to you, then you should be substituting the value of x in the equation i.e y=-10x+3
The diameter of a circle has length 12. The center is at (-5,2) . Give the equation of the circle?
Answers
9514 1404 393
Answer:
(x +5)² +(y -2)² = 36
Step-by-step explanation:
The radius is half the diameter, so is 12/2 = 6.
The standard form equation for a circle is ...
(x -h)² +(y -k)² = r² . . . . . . circle centered at (h, k) with radius r
For the given parameters, the equation is ...
(x +5)² +(y -2)² = 36
PLEASE HELP ASAP! NO JOKE OR SCAM ANSWERS!! FULL ANSWERS ONLY!!!
Joy recently hired a mechanic to do some necessary work. On the final bill, Joy was charged a total of $991. The amount listed for parts was $475 and the rest of the bill was for labor. If the hourly rate for labor was $43, how many hours of labor was needed to complete the job?
(A) First write an equation you can use to answer this question. Use x as your variable. The equation is ___________
(B) Solve your equation in part (A) to find the number of labor hours needed to do the job. Answer: The number of labor hours was _____________
Answers
Answer:
12 hoursStep-by-step explanation:
Given:
The total amount = $991Cost of parts = $475Hourly labor rate = $43Number of hours = x(A)
The equation:
y = 43x + 475(B)
Solve for x:
43x + 475 = 99143x = 991 - 47543x = 516x = 516/43x = 12A student pushed a cart and records its position as it moves along a track. During
which part or parts of the track did the cart experience unbalanced forces? *
Motionless
Speed Increased
Speed Decreased
E--
OO
Part 1 only
Parts 1 and 2 only
Part 3 only
Parts 2 and 3 only
Answers
can someone please help I am stuck and its due soon I will follow and give feed back
Answers
Write the slope-intercept equation of the line passing through (3.5) and (10.-7). Do not give decimals in your answer.
Answer:
Answers
Answer:
y = -12/7x + 71/7
Step-by-step explanation:
y2 - y1 / x2 - x1
-7 - 5 / 10 - 3
-12/7
y = -12/7x + b
5 = -12/7(3) + b
5 = -36/7 + b
71/7 = b
Solve for x. x 2 = 1 3 A) 6 B) 1 6 C) 2 3 D) 3 2
Answers
Answer:
The answer is not given in the options.
Step-by-step explanation:
2x = 13
or, 2x/2 = 13/2 (multiplying with (1/2) in both sides)
or, x = 13/2
or, x = 6.5
What is the Co ordinates to fill in the grid in the top left?
Answers
Answer:
a ) x = - 3, y = 5
x = 0, y = 2
x = 5, y = - 3
b ) you should draw the line by marking the coordinates in the graph, then draw a straight line passing through all those three points.
Step-by-step explanation:
y = 2 - x
When x = - 3,
y = 2 - x
= 2 - ( - 3 )
= 2 + 5
y = 7
When x = 0,
y = 2 - x
= 2 - 0
y = 2
When x = 5,
y = 2 - x
= 2 - 5
y = - 3
b ) you should draw the line by marking the coordinates in the graph, then draw a straight line passing through all those three points.
JUST put x and get y
#-3
[tex]\\ \rm\rightarrowtail y=2+3=5[/tex]
#0
[tex]\\ \rm\rightarrowtail y=2-0=2[/tex]
#5
[tex]\\ \rm\rightarrowtail y=2-5[/tex]
[tex]\\ \rm\rightarrowtail y=-3[/tex]
Which of the following fractions is a proper fraction?
Answers
Answer:
A
Step-by-step explanation:
because the numerator is less than denometer
Answer:
The answer is A
Explaination
for a fractions to be proper the denominator must be greater than the numerator
5=numerator
8= denominator
Simplify 20 + 52 × 2.
Question 24 options:
40
90
1,250
70
Answers
Step-by-step explanation:
Simplify:
20 + 52 × 2
=> 20 + 104
=> 124 Ans.
None of these.
Hey there!
20 + 52 × 2
= 72 × 2
= 72 + 72
= 144
Therefore, your answer SHOULD BE: 144
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Which pairs of rectangles are similar polygons?
Select Similar or Not Similar for each pair of rectangles.
Answers
-similar
-similar
Answer: it’s actually
A and B: similar
B and C: not similar
A and C: not similar
Step-by-step explanation:
the person below me was actually wrong, i know because i took the quiz ( thx a lot bro got my quiz wrong)
What is the equation of the blue line
Answers
Answer:
y = - 3x - 1
Step-by-step explanation:
Slope = 3/-1 = -3 (rise/run)
y-intercept= -1
y = -3x - 1
Place the following numbers in order from least to greatest -4.5, -3 5/6, square root of 16, -8/3, -2 pie
Answers
Answer: -2 pi, -4.5, -3 5/6, -8/3, square root of 16
Step-by-step explanation:
The number which would be the smallest would be the largest negative number sense its farthest from 0 and the greatest would by the biggest positive number in this case being square root of 16.
square root of 16 is 4 sense (4 times 4 is 16)
-8/3= -2.67
-2 pi= -6.28
-3 5/6= -3.834
HELPNHGHJJJKJHFCBPPPPPPPHELPPPPPP
Answers
ANSWER QUICK PLEASE!!
Which expression is undefined?
A. (10 - 10) / 10
B. 0 divided by 3/4
C. 3 / (7 - 7)
D. (-5 - 0) / 5
Answers
Answer:
c...........3/(7-7) is the undefined expression
Choose the equation for the graph
Answers
Answer:
D. y = |x + 5| - 2
Step-by-step explanation:
The peak of the graph is formed at the point (2, 5)
that means the function must be such that the value of y is 5 when x is 2.
Checking D option:
y= | x + 5| - 2
5 = | 2 + 5| - 2
5 = 7 - 2
5 = 5
LHS = RHS
this means that the given graph is represented by the equation in option D.
Therefore, it's D
_________________
You'll have to check for all options by placing the values of x and y repetitively in all of them.
There, LHS ≠ RHS.